147 citations · 365 across the 33 of their papers we have counts for
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Uniqueness and nonuniqueness for Ricci flow on surfaces: Reverse cusp singularities
Peter Topping
We extend the notion of what it means for a complete Ricci flow to have a given initial metric, and consider the resulting well-posedness issues that arise in the 2D case. On one h…
Existence of Ricci flows of incomplete surfaces
Gregor Giesen, Peter M. Topping
We prove a general existence result for instantaneously complete Ricci flows starting at an arbitrary Riemannian surface which may be incomplete and may have unbounded curvature. W…
On Type I Singularities in Ricci flow
Joerg Enders, Reto Müller, Peter M. Topping
We define several notions of singular set for Type I Ricci flows and show that they all coincide. In order to do this, we prove that blow-ups around singular points converge to non…
Almost-Schur lemma
Camillo De Lellis, Peter M. Topping
Schur's lemma states that every Einstein manifold of dimension has constant scalar curvature. Here is defined to be Einstein if its traceless Ricci tensor $$\Rico…